In Refs.[1]}, [2]}, [3]}, [4]}, [5]}, we perform comprehensive investigations of the spin-parity \(J^P={\frac{1}{2}}^\pm \) , \({\frac{3}{2}}^\pm \)  and \({\frac{5}{2}}^\pm \)  diquark-diquark-antiquark type hidden-charm pentaquark states
with the QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension 10 in a consistent way and separating the contributions of the positive parity pentaquark states from that of the negative parity pentaquark states explicitly, and reproduce the experimental values of the masses of the \(P_c(4380)\)  and \(P(4450)\)  as the compact pentaquark states with the spin-parity \(J^P={\frac{3}{2}}^-\)  and \({\frac{5}{2}}^+\) , respectively. Furthermore, we obtain the lowest masses \(4.29 \pm 0.13\,\rm {GeV}\)  and \(4.30 \pm 0.13\,\rm {GeV}\)  for the scalar-diquark–scalar-diquark-antiquark type and scalar-diquark-axialvector-diquark-antiquark type hidden-charm pentaquark states with the spin-parity \(J^P={\frac{1}{2}}^-\) , respectively [5]}, which are all consistent with the mass of the \(P_c(4312)\)  observed later by the LHCb collaboration [7]}. Then we update the old analysis by taking into account
the vacuum condensates up to dimension 13 in a consistent way [8]}, and obtain more flatter Borel platforms and better predictions of the masses and pole residues. The new analysis indicates that the lowest scalar-diquark–scalar-diquark-antiquark type and axialvector-diquark-axialvector-diquark-antiquark type compact hidden-charm pentaquark states with the spin-parity \(J^P={\frac{1}{2}}^-\)  have the masses \(4.31 \pm 0.11\,\rm {GeV}\)  and \(4.34 \pm 0.14\,\rm {GeV}\) , respectively, which are all consistent with the mass of the \(P_c(4312)\) . While the scalar-diquark-axialvector-diquark-antiquark type hidden-charm pentaquark states with the spin-parity \(J^P={\frac{1}{2}}^-\)  has a mass \(4.45 \pm 0.11\,\rm {GeV}\)  rather than \(4.30 \pm 0.13\,\rm {GeV}\)  [8]}.
